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Finding the Fourth Proportional to 2,572.84, 3,859.74 and 1,185.64

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Solution

The fourth proportional to 2,572.84, 3,859.74 and 1,185.64 is: 1,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.84 : 3,859.74 = 1,185.64 : x
  2. Step 2: Convert to fraction form
    2,572.84/3,859.74 = 1,185.64/x
  3. Step 3: Cross multiply
    2,572.84x = 3,859.74 × 1,185.64
  4. Step 4: Simplify right side
    2,572.84x = 4,576,262.13
  5. Step 5: Solve for x
    x = 4,576,262.13/2,572.84
  6. Step 6: Final answer
    x = 1,778.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.